|
Organizers |
Spanning trees and Khovanov homology
by
Ilya Kofman
Columbia University
Coauthors: Abhijit Champanerkar, Oleg Viro
Thistlethwaite showed that the Jones polynomial is a state sum over spanning trees of the Tait graph, obtained by checkerboard coloring a knot diagram. We show that there exists a complex generated by these spanning trees whose homology is the reduced Khovanov homology. In fact, the spanning tree complex is a deformation retract of Khovanov's complex. For alternating knots, this complex is the simplest possible because all boundary maps are zero.
This is work in progress, joint with Abhijit Champanerkar and Oleg Viro.
Date received: May 25, 2004
Copyright © 2004 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # canv-19.